7(5x+2)=6(6x+1)

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Solution for 7(5x+2)=6(6x+1) equation:


Simplifying
7(5x + 2) = 6(6x + 1)

Reorder the terms:
7(2 + 5x) = 6(6x + 1)
(2 * 7 + 5x * 7) = 6(6x + 1)
(14 + 35x) = 6(6x + 1)

Reorder the terms:
14 + 35x = 6(1 + 6x)
14 + 35x = (1 * 6 + 6x * 6)
14 + 35x = (6 + 36x)

Solving
14 + 35x = 6 + 36x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-36x' to each side of the equation.
14 + 35x + -36x = 6 + 36x + -36x

Combine like terms: 35x + -36x = -1x
14 + -1x = 6 + 36x + -36x

Combine like terms: 36x + -36x = 0
14 + -1x = 6 + 0
14 + -1x = 6

Add '-14' to each side of the equation.
14 + -14 + -1x = 6 + -14

Combine like terms: 14 + -14 = 0
0 + -1x = 6 + -14
-1x = 6 + -14

Combine like terms: 6 + -14 = -8
-1x = -8

Divide each side by '-1'.
x = 8

Simplifying
x = 8

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